standard deviation
(SD) A measure of the range of values in a set of numbers. Standard deviation is a statistic used as a measure of the dispersion or variation in a distribution, equal to the square root of the arithmetic mean of the squares of the deviations from the arithmetic mean.
The standard deviation of a random variable or list of numbers (the lowercase greek sigma) is the square of the variance. The standard deviation of the list x1, x2, x3...xn is given by the formula: sigma = sqrt(((x1-(avg(x)))^2 + (x1-(avg(x)))^2 +
... + (xn(avg(x)))^2)/n)
The formula is used when all of the values in the population
are known. If the values x1...xn are a random sample chosen
from the population, then the sample Standard Deviation is
calculated with same formula, except that (n-1) is used as the
denominator.
[dictionary.com].
["Barrons Dictionary of Mathematical Terms, second edition"].
Last updated: 2003-05-06
Nearby terms:
Standard d'Echange et de Transfert ♦ standard deviation ♦ standard for robot exclusion
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